The Messenger of Allah ﷺ would sometimes be leading the prayer and would recite a short surah out of consideration for a woman whose child was crying.
حدثنا عبد الصمد حدثنا جعفر حدثنا ثابت
أن رسول الله ﷺ كان يكون في الصلاة فيقرأ سورة خفيفة من أجل المرأة وبكاء الصبي
No references are available.
Its isnad is sahih, and Jafar is Ibn Sulayman Dubai, and the hadith has already appeared in similar form as a marfu narration at 12006.